contestada

Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts

jumping. Here, t is entered in radians.

H(t) =-0.6 cos (2pi/2.5)t + 1.5

What is the second time when Luiza reaches a height of 1.2 m?

Round your final answer to the nearest hundredth of a second.

Respuesta :

nijatibrahimov1993

Answer:

t=2.08 seconds.

Step-by-step explanation:

Well, in this example, H(t)=-0.6cos(2pi/2.5)t+1.5 should be equal to 1.2. If calculated, -0.6cos(0.8pi)t=1.2-1.5 which is equal to -0.6cos(0.8pi)t=-0.3, then cos(0.8pi)t=0.5. The value of cosine in terms of radians when it is equal to 0.5 is pi/3. So, cos(0.8pi)t=cos(pi/3). If simplified, (0.8pi)*t=5pi/3. pi's are cancelled out and t is calculated as 2.08333... If rounded to the nearest hundredth it is 2.08.

Otras preguntas